SOLUTION: Solve x^2+6x+9=49 a.4,-4 b.10,-4 c.4, -10 d.10,-10

Algebra.Com
Question 119194: Solve
x^2+6x+9=49
a.4,-4
b.10,-4
c.4, -10
d.10,-10

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given equation


Subtract 49 from both sides.


Combine like terms


Factor the left side (note: if you need help with factoring, check out this solver)



Now set each factor equal to zero:
or

or Now solve for x in each case


So our answer is
or


Notice if we graph we can see that the roots are and . So this visually verifies our answer.





So the answer is C)

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